Finding the Fourth Proportional to 1,142.19, 1,575.32 and 769.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.19 : 1,575.32 = 769.59 : x
2. Step 2: Convert to fraction form
   1,142.19/1,575.32 = 769.59/x
3. Step 3: Cross multiply
   1,142.19x = 1,575.32 × 769.59
4. Step 4: Simplify right side
   1,142.19x = 1,212,346.67
5. Step 5: Solve for x
   x = 1,212,346.67/1,142.19
6. Step 6: Final answer
   x = 1,061.42